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Finding the Third Proportional to 309,392 and 492,307

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Solution

The third proportional to 309,392 and 492,307 is: 783,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,392 : 492,307 = 492,307 : x
  2. Step 2: Convert to fraction form
    309,392/492,307 = 492,307/x
  3. Step 3: Cross multiply
    309,392x = 492,307 × 492,307
  4. Step 4: Simplify right side
    309,392x = 242,366,182,249
  5. Step 5: Solve for x
    x = 242,366,182,249/309,392
  6. Step 6: Final answer
    x = 783,362.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.